21631706698400 has 576 divisors, whose sum is σ = 58007191302144. Its totient is φ = 7844659200000.

The previous prime is 21631706698367. The next prime is 21631706698403. The reversal of 21631706698400 is 489660713612.

It is not an unprimeable number, because it can be changed into a prime (21631706698403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17774614592 + ... + 17774615808.

It is an arithmetic number, because the mean of its divisors is an integer number (100706929344).

Almost surely, 2^{21631706698400} is an apocalyptic number.

21631706698400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21631706698400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29003595651072).

21631706698400 is an abundant number, since it is smaller than the sum of its proper divisors (36375484603744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21631706698400 is a wasteful number, since it uses less digits than its factorization.

21631706698400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 53.

The spelling of 21631706698400 in words is "twenty-one trillion, six hundred thirty-one billion, seven hundred six million, six hundred ninety-eight thousand, four hundred".